Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings

Based on a lumped parameter model with two degrees of freedom, the periodic response of the coupled axial-torsional nonlinear vibration of drill strings is studied by HB-AFT (harmonic balance and alternating frequency/time domain) method and numerical simulations. The amplitude-frequency characteris...

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Autores principales:	Xinye Li, Tao Yu, Lijuan Zhang, Hao Zeng, Congcong Duan
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/3836ee8323514f3a9bedaff6f8730fb0
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spelling	oai:doaj.org-article:3836ee8323514f3a9bedaff6f8730fb02021-11-08T02:36:47ZTheoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings1875-920310.1155/2021/8046635https://doaj.org/article/3836ee8323514f3a9bedaff6f8730fb02021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8046635https://doaj.org/toc/1875-9203Based on a lumped parameter model with two degrees of freedom, the periodic response of the coupled axial-torsional nonlinear vibration of drill strings is studied by HB-AFT (harmonic balance and alternating frequency/time domain) method and numerical simulations. The amplitude-frequency characteristic curves of axial relative displacement and torsional relative angular velocity are given to reveal the mechanism of bit bounce and stick-slip motion. The stability of periodic response is analyzed by Floquet theory, and the boundary conditions of bifurcation of periodic response are given when parameters such as nominal drilling pressure, angular velocity of turntable, and formation stiffness are varied. The results show that the amplitude of the periodic response of the system precipitates a spontaneous jump and Hopf bifurcation may occur when the angular velocity of the turntable is varied. The variation of parameters may lead to the complex dynamic behavior of the system, such as period-doubling motion, quasiperiodic motion, and chaos. Bit bounce and stick-slip phenomenon can be effectively suppressed by varying the angular velocity of turntable and nominal drilling pressure.Xinye LiTao YuLijuan ZhangHao ZengCongcong DuanHindawi LimitedarticlePhysicsQC1-999ENShock and Vibration, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Xinye Li Tao Yu Lijuan Zhang Hao Zeng Congcong Duan Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
description	Based on a lumped parameter model with two degrees of freedom, the periodic response of the coupled axial-torsional nonlinear vibration of drill strings is studied by HB-AFT (harmonic balance and alternating frequency/time domain) method and numerical simulations. The amplitude-frequency characteristic curves of axial relative displacement and torsional relative angular velocity are given to reveal the mechanism of bit bounce and stick-slip motion. The stability of periodic response is analyzed by Floquet theory, and the boundary conditions of bifurcation of periodic response are given when parameters such as nominal drilling pressure, angular velocity of turntable, and formation stiffness are varied. The results show that the amplitude of the periodic response of the system precipitates a spontaneous jump and Hopf bifurcation may occur when the angular velocity of the turntable is varied. The variation of parameters may lead to the complex dynamic behavior of the system, such as period-doubling motion, quasiperiodic motion, and chaos. Bit bounce and stick-slip phenomenon can be effectively suppressed by varying the angular velocity of turntable and nominal drilling pressure.
format	article
author	Xinye Li Tao Yu Lijuan Zhang Hao Zeng Congcong Duan
author_facet	Xinye Li Tao Yu Lijuan Zhang Hao Zeng Congcong Duan
author_sort	Xinye Li
title	Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
title_short	Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
title_full	Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
title_fullStr	Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
title_full_unstemmed	Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings
title_sort	theoretical and numerical analysis of coupled axial-torsional nonlinear vibration of drill strings
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/3836ee8323514f3a9bedaff6f8730fb0
work_keys_str_mv	AT xinyeli theoreticalandnumericalanalysisofcoupledaxialtorsionalnonlinearvibrationofdrillstrings AT taoyu theoreticalandnumericalanalysisofcoupledaxialtorsionalnonlinearvibrationofdrillstrings AT lijuanzhang theoreticalandnumericalanalysisofcoupledaxialtorsionalnonlinearvibrationofdrillstrings AT haozeng theoreticalandnumericalanalysisofcoupledaxialtorsionalnonlinearvibrationofdrillstrings AT congcongduan theoreticalandnumericalanalysisofcoupledaxialtorsionalnonlinearvibrationofdrillstrings
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Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings

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